Proof Tames Nightmare Scenarios in Surface Smoothing
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Resources & Recommendations
Books
- "The Infinite Monkey Cage" - A BBC podcast series covering various scientific topics.
People Mentioned
- Tom Ilmanen (Mathematician, Swiss Federal Institute of Technology Zurich) - Proposed the multiplicity one conjecture in 1995.
- Richard Bamler (Mathematician, University of California, Berkeley) - Co-authored the proof of the multiplicity one conjecture.
- Bruce Kleiner (Mathematician, New York University) - Co-authored the proof of the multiplicity one conjecture.
- Brian White (Stanford University) - Commented on the significance of the new proof.
- Kenneth Brakke (Emeritus Professor, Susquehanna University) - Formalized the concept of mean curvature flow mathematically in 1978.
- Otis Chodosh (Mathematician, Stanford University) - Discussed the implications of the conjecture's resolution for geometry and topology.
- Michael Canyon Golo - Helped with the audio episode.
- Steve Natus - Author of the article "A New Proof Smooths Out the Math of Melting".
Organizations & Institutions
- Swiss Federal Institute of Technology Zurich - Tom Ilmanen's affiliation.
- University of California, Berkeley - Richard Bamler's affiliation.
- New York University - Bruce Kleiner's affiliation.
- Stanford University - Brian White's and Otis Chodosh's affiliation.
- Susquehanna University - Kenneth Brakke's affiliation.
- Simons Foundation - Supports Quanta Magazine.
Websites & Online Resources
- Quanta Magazine (quantamagazine.org) - An editorially independent online publication focusing on basic science and mathematics.
Other Resources
- Multiplicity One Conjecture - A mathematical conjecture stating that singularities formed during mean curvature flow must be relatively simple.
- Smale Conjecture - An important problem about symmetries of spheres that mean curvature flow could help to reprove.
- Poincare Conjecture - A major conjecture about spheres proven using Ricci flow.
- Ricci Flow - A related process to mean curvature flow used to prove major conjectures.